Abstract

In this work we deal with spectral gap and canonical measures related to a model called colored disordered lattice gas. We consider the approach used in the work of Dermoune and Heinrich [“A small step towards the hydrodynamic limit of a colored disordered lattice gas,” C. R. Math. Acad. Sci.339, 507–511 (2004)]. We suggest a new computation for the canonical measures. Also, we propose the explicit form of the spectral gap for colored disordered lattice gas of exclusion processes which plays an important role in the study of hydrodynamic limit.